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Finding the Third Proportional to 115,326.50 and 162,334

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Solution

The third proportional to 115,326.50 and 162,334 is: 228,501.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,326.50 : 162,334 = 162,334 : x
  2. Step 2: Convert to fraction form
    115,326.50/162,334 = 162,334/x
  3. Step 3: Cross multiply
    115,326.50x = 162,334 × 162,334
  4. Step 4: Simplify right side
    115,326.50x = 26,352,327,556
  5. Step 5: Solve for x
    x = 26,352,327,556/115,326.50
  6. Step 6: Final answer
    x = 228,501.93

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.